Search a number
-
+
20949696 = 263237983
BaseRepresentation
bin100111111101…
…0101011000000
31110102100120200
41033322223000
520330342241
62025005200
7343032555
oct117725300
943370520
1020949696
11109098a9
127023800
134456791
142ad4a2c
151c8c4b6
hex13faac0

20949696 has 84 divisors (see below), whose sum is σ = 61734192. Its totient is φ = 6787584.

The previous prime is 20949689. The next prime is 20949697. The reversal of 20949696 is 69694902.

It is not an unprimeable number, because it can be changed into a prime (20949697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20821 + ... + 21803.

Almost surely, 220949696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20949696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30867096).

20949696 is an abundant number, since it is smaller than the sum of its proper divisors (40784496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20949696 is a wasteful number, since it uses less digits than its factorization.

20949696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 20949696 is about 4577.0837877408. The cubic root of 20949696 is about 275.6719479779.

The spelling of 20949696 in words is "twenty million, nine hundred forty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 144 148 192 222 288 296 333 444 576 592 666 888 983 1184 1332 1776 1966 2368 2664 2949 3552 3932 5328 5898 7104 7864 8847 10656 11796 15728 17694 21312 23592 31456 35388 36371 47184 62912 70776 72742 94368 109113 141552 145484 188736 218226 283104 290968 327339 436452 566208 581936 654678 872904 1163872 1309356 1745808 2327744 2618712 3491616 5237424 6983232 10474848 20949696